{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "google",
   "metadata": {},
   "source": [
    "##### Copyright 2025 Google LLC."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "apache",
   "metadata": {},
   "source": [
    "Licensed under the Apache License, Version 2.0 (the \"License\");\n",
    "you may not use this file except in compliance with the License.\n",
    "You may obtain a copy of the License at\n",
    "\n",
    "    http://www.apache.org/licenses/LICENSE-2.0\n",
    "\n",
    "Unless required by applicable law or agreed to in writing, software\n",
    "distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "See the License for the specific language governing permissions and\n",
    "limitations under the License.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "basename",
   "metadata": {},
   "source": [
    "# rostering_with_travel"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "link",
   "metadata": {},
   "source": [
    "<table align=\"left\">\n",
    "<td>\n",
    "<a href=\"https://colab.research.google.com/github/google/or-tools/blob/main/examples/notebook/contrib/rostering_with_travel.ipynb\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/colab_32px.png\"/>Run in Google Colab</a>\n",
    "</td>\n",
    "<td>\n",
    "<a href=\"https://github.com/google/or-tools/blob/main/examples/contrib/rostering_with_travel.py\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/github_32px.png\"/>View source on GitHub</a>\n",
    "</td>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "doc",
   "metadata": {},
   "source": [
    "First, you must install [ortools](https://pypi.org/project/ortools/) package in this colab."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "install",
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install ortools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "code",
   "metadata": {},
   "outputs": [],
   "source": [
    "from ortools.sat.python import cp_model\n",
    "\n",
    "\n",
    "def SolveRosteringWithTravel():\n",
    "  model = cp_model.CpModel()\n",
    "\n",
    "  # [duration, start, end, location]\n",
    "  jobs = [[3, 0, 6, 1], [5, 0, 6, 0], [1, 3, 7, 1], [1, 3, 5, 0], [3, 0, 3, 0],\n",
    "          [3, 0, 8, 0]]\n",
    "\n",
    "  max_length = 20\n",
    "\n",
    "  num_machines = 3\n",
    "  all_machines = range(num_machines)\n",
    "\n",
    "  horizon = 20\n",
    "  travel_time = 1\n",
    "  num_jobs = len(jobs)\n",
    "  all_jobs = range(num_jobs)\n",
    "\n",
    "  intervals = []\n",
    "  optional_intervals = []\n",
    "  performed = []\n",
    "  starts = []\n",
    "  ends = []\n",
    "  travels = []\n",
    "\n",
    "  for m in all_machines:\n",
    "    optional_intervals.append([])\n",
    "\n",
    "  for i in all_jobs:\n",
    "    # Create main interval.\n",
    "    start = model.NewIntVar(jobs[i][1], horizon, 'start_%i' % i)\n",
    "    duration = jobs[i][0]\n",
    "    end = model.NewIntVar(0, jobs[i][2], 'end_%i' % i)\n",
    "    interval = model.NewIntervalVar(start, duration, end, 'interval_%i' % i)\n",
    "    starts.append(start)\n",
    "    intervals.append(interval)\n",
    "    ends.append(end)\n",
    "\n",
    "    job_performed = []\n",
    "    job_travels = []\n",
    "    for m in all_machines:\n",
    "      performed_on_m = model.NewBoolVar('perform_%i_on_m%i' % (i, m))\n",
    "      job_performed.append(performed_on_m)\n",
    "\n",
    "      # Create an optional copy of interval to be executed on a machine\n",
    "      location0 = model.NewIntVar(jobs[i][3], jobs[i][3],\n",
    "                                  'location_%i_on_m%i' % (i, m))\n",
    "      start0 = model.NewIntVar(jobs[i][1], horizon, 'start_%i_on_m%i' % (i, m))\n",
    "      end0 = model.NewIntVar(0, jobs[i][2], 'end_%i_on_m%i' % (i, m))\n",
    "      interval0 = model.NewOptionalIntervalVar(\n",
    "          start0, duration, end0, performed_on_m, 'interval_%i_on_m%i' % (i, m))\n",
    "      optional_intervals[m].append(interval0)\n",
    "\n",
    "      # We only propagate the constraint if the tasks is performed on the machine.\n",
    "      model.Add(start0 == start).OnlyEnforceIf(performed_on_m)\n",
    "      # Adding travel constraint\n",
    "      travel = model.NewBoolVar('is_travel_%i_on_m%i' % (i, m))\n",
    "      startT = model.NewIntVar(0, horizon, 'start_%i_on_m%i' % (i, m))\n",
    "      endT = model.NewIntVar(0, horizon, 'end_%i_on_m%i' % (i, m))\n",
    "      intervalT = model.NewOptionalIntervalVar(\n",
    "          startT, travel_time, endT, travel,\n",
    "          'travel_interval_%i_on_m%i' % (i, m))\n",
    "      optional_intervals[m].append(intervalT)\n",
    "      job_travels.append(travel)\n",
    "\n",
    "      model.Add(end0 == startT).OnlyEnforceIf(travel)\n",
    "\n",
    "    performed.append(job_performed)\n",
    "    travels.append(job_travels)\n",
    "\n",
    "    model.Add(sum(job_performed) == 1)\n",
    "\n",
    "  for m in all_machines:\n",
    "    if m == 1:\n",
    "      for i in all_jobs:\n",
    "        if i == 2:\n",
    "          for c in all_jobs:\n",
    "            if (i != c) and (jobs[i][3] != jobs[c][3]):\n",
    "              is_job_earlier = model.NewBoolVar('is_j%i_earlier_j%i' % (i, c))\n",
    "              model.Add(starts[i] < starts[c]).OnlyEnforceIf(is_job_earlier)\n",
    "              model.Add(starts[i] >= starts[c]).OnlyEnforceIf(\n",
    "                  is_job_earlier.Not())\n",
    "\n",
    "  # Max Length constraint (modeled as a cumulative)\n",
    "  # model.AddCumulative(intervals, demands, max_length)\n",
    "\n",
    "  # Choose which machine to perform the jobs on.\n",
    "  for m in all_machines:\n",
    "    model.AddNoOverlap(optional_intervals[m])\n",
    "\n",
    "  # Objective variable.\n",
    "  total_cost = model.NewIntVar(0, 1000, 'cost')\n",
    "  model.Add(total_cost == sum(\n",
    "      performed[j][m] * (10 * (m + 1)) for j in all_jobs for m in all_machines))\n",
    "  model.Minimize(total_cost)\n",
    "\n",
    "  # Solve model.\n",
    "  solver = cp_model.CpSolver()\n",
    "  result = solver.Solve(model)\n",
    "\n",
    "  print()\n",
    "  print(result)\n",
    "  print('Statistics')\n",
    "  print('  - conflicts       : %i' % solver.NumConflicts())\n",
    "  print('  - branches        : %i' % solver.NumBranches())\n",
    "  print('  - wall time       : %f ms' % solver.WallTime())\n",
    "\n",
    "\n",
    "def main():\n",
    "  SolveRosteringWithTravel()\n",
    "\n",
    "\n",
    "main()\n",
    "\n"
   ]
  }
 ],
 "metadata": {
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
